Question

A 12.0-kg box resting on a horizontal, frictionless surface is attached to a 5.00-kg weight by a thin, light wire that passes over a frictionless pulley ($\textbf{Fig. E10.16}$). The pulley has the shape of a uniform solid disk of mass 2.00 kg and diameter 0.500 m. After the system is released, find (a) the tension in the wire on both sides of the pulley, (b) the acceleration of the box, and (c) the horizontal and vertical components of the force that the axle exerts on the pulley.

          A 12.0-kg box resting on a horizontal, frictionless surface is attached to a 5.00-kg weight by a thin, light wire that passes over a frictionless pulley ($\textbf{Fig. E10.16}$). The pulley has the shape of a uniform solid disk of mass 2.00 kg and diameter 0.500 m. After the system is released, find (a) the tension in the
wire on both sides of the pulley, (b) the acceleration of the box, and (c) the horizontal and vertical components of the force that the axle exerts on the pulley.

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Added by Chris K.

University Physics with Modern Physics In SI Units

Hugh D Young; Roger A Freedman 15th Edition

Chapter 10

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Solved by Expert Penny Riley

11/15/2022

Step 1

Let's denote the tension on the side of the 12.0-kg box as T1 and the tension on the side of the 5.00-kg weight as T2. The net torque on the pulley is given by (T1 - T2) * r, where r is the radius of the pulley. This net torque is also equal to the moment of Show more…

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A 12.0-kg box resting on a horizontal, frictionless surface is attached to a 5.00-kg weight by a thin, light wire that passes over a frictionless pulley ($\textbf{Fig. E10.16}$). The pulley has the shape of a uniform solid disk of mass 2.00 kg and diameter 0.500 m. After the system is released, find (a) the tension in the wire on both sides of the pulley, (b) the acceleration of the box, and (c) the horizontal and vertical components of the force that the axle exerts on the pulley.

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